The deal.II Library, Version 9.0

Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David

doi:10.1515/jnma-2018-0054

Title: The deal.II Library, Version 9.0

Abstract

This paper provides an overview of the new features of the finite element library deal.II version 9.0.

Authors:

Alzetta, Giovanni ^[1]; Arndt, Daniel ^[2]; Bangerth, Wolfgang ^[3]; Boddu, Vishal ^[4]; Brands, Benjamin ^[4]; Davydov, Denis ^[4]; Gassmöller, Rene ^[5]; Heister, Timo ^[6]; Heltai, Luca ^[1]; Kormann, Katharina ^[7]; Kronbichler, Martin ^[8]; Maier, Matthias ^[9]; Pelteret, Jean-Paul ^[4];

^[10]; Wells, David ^[11]

International School for Advanced Studies (SISSA), Trieste (Italy)
Heidelberg Univ. (Germany). Interdisciplinary Center for Scientific Computing
Colorado State Univ., Fort Collins, CO (United States). Dept. of Mathematics
Friedrich-Alexander Univ. Erlangen-Nürnberg, Erlangen (Germany). Chair of Applied Mechanics
Univ. of California, Davis, CA (United States). Dept. of Earth and Planetary Sciences
Clemson Univ., SC (United States). Dept. of Mathematical Sciences
Max Planck Inst. for Plasma Physics (IPP), Garching (Germany)
Technical Univ. of Munich (Germany). Inst. for Computational Mechanics
Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Engineering and Energy Sciences Group and Computational Sciences and Engineering Division
Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Mathematical Sciences

Publication Date:: Sat Jun 09 00:00:00 EDT 2018

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC); German Research Foundation (DFG); National Science Foundation (NSF); German Academic Exchange Service (DAAD); Univ. Grants Commission (UGC) (India); US Department of the Navy, Office of Naval Research (ONR); US Army Research Office (ARO); European Research Council (ERC)

OSTI Identifier:: 1476394

Grant/Contract Number:: AC05-00OR22725; OCI-1148116; EAR-0949446; EAR-1550901; DA 1664/2-1; DMS-1522191; EAR- 1550901; SBIR N16A-T003; W911NF-14-0247; 289049 MOCOPOLY; DMS-1344962

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Numerical Mathematics

Additional Journal Information:: Journal Volume: 26; Journal Issue: 4; Journal ID: ISSN 1570-2820

Publisher:: de Gruyter

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Alzetta, Giovanni, Arndt, Daniel, Bangerth, Wolfgang, Boddu, Vishal, Brands, Benjamin, Davydov, Denis, Gassmöller, Rene, Heister, Timo, Heltai, Luca, Kormann, Katharina, Kronbichler, Martin, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, and Wells, David. The deal.II Library, Version 9.0.  United States: N. p., 2018. 
Web.  doi:10.1515/jnma-2018-0054.

Copy to clipboard


                    Alzetta, Giovanni, Arndt, Daniel, Bangerth, Wolfgang, Boddu, Vishal, Brands, Benjamin, Davydov, Denis, Gassmöller, Rene, Heister, Timo, Heltai, Luca, Kormann, Katharina, Kronbichler, Martin, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, & Wells, David. The deal.II Library, Version 9.0.  United States.  https://doi.org/10.1515/jnma-2018-0054

Copy to clipboard


                    Alzetta, Giovanni, Arndt, Daniel, Bangerth, Wolfgang, Boddu, Vishal, Brands, Benjamin, Davydov, Denis, Gassmöller, Rene, Heister, Timo, Heltai, Luca, Kormann, Katharina, Kronbichler, Martin, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, and Wells, David. Sat .  
"The deal.II Library, Version 9.0".  United States.  https://doi.org/10.1515/jnma-2018-0054.  https://www.osti.gov/servlets/purl/1476394.

Copy to clipboard


                    
@article{osti_1476394,

  title        = {The deal.II Library, Version 9.0},

  author       = {Alzetta, Giovanni and Arndt, Daniel and Bangerth, Wolfgang and Boddu, Vishal and Brands, Benjamin and Davydov, Denis and Gassmöller, Rene and Heister, Timo and Heltai, Luca and Kormann, Katharina and Kronbichler, Martin and Maier, Matthias and Pelteret, Jean-Paul and Turcksin, Bruno and Wells, David},

  abstractNote = {This paper provides an overview of the new features of the finite element library deal.II version 9.0.},

  doi          = {10.1515/jnma-2018-0054},

  journal      = {Journal of Numerical Mathematics},

  number       = 4,

  volume       = 26,

  place        = {United States},

  year         = {Sat Jun 09 00:00:00 EDT 2018},

  month        = {Sat Jun 09 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1515/jnma-2018-0054

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 100 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
journal, January 1998

Karypis, George; Kumar, Vipin
SIAM Journal on Scientific Computing, Vol. 20, Issue 1
DOI: 10.1137/S1064827595287997

SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems
journal, September 2005

Hernandez, Vicente; Roman, Jose E.; Vidal, Vicente
ACM Transactions on Mathematical Software, Vol. 31, Issue 3
DOI: 10.1145/1089014.1089019

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods
journal, July 2018

Giuliani, Nicola; Mola, Andrea; Heltai, Luca
Advances in Engineering Software, Vol. 121
DOI: 10.1016/j.advengsoft.2018.03.008

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
journal, September 2009

Geuzaine, Christophe; Remacle, Jean-François
International Journal for Numerical Methods in Engineering, Vol. 79, Issue 11
DOI: 10.1002/nme.2579

Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods
journal, January 2011

Janssen, Bärbel; Kanschat, Guido
SIAM Journal on Scientific Computing, Vol. 33, Issue 4
DOI: 10.1137/090778523

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics
journal, December 2017

Davydov, Denis; Gerasimov, Tymofiy; Pelteret, Jean-Paul
Advanced Modeling and Simulation in Engineering Sciences, Vol. 4, Issue 1
DOI: 10.1186/s40323-017-0093-0

Algorithms and data structures for massively parallel generic adaptive finite element codes
journal, December 2011

Bangerth, Wolfgang; Burstedde, Carsten; Heister, Timo
ACM Transactions on Mathematical Software, Vol. 38, Issue 2
DOI: 10.1145/2049673.2049678

Algorithm 755; ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
journal, June 1996

Griewank, Andreas; Juedes, David; Utke, Jean
ACM Transactions on Mathematical Software, Vol. 22, Issue 2
DOI: 10.1145/229473.229474

Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
journal, June 2004

Davis, Timothy A.
ACM Transactions on Mathematical Software, Vol. 30, Issue 2
DOI: 10.1145/992200.992206

An overview of the Trilinos project
journal, September 2005

Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G.
ACM Transactions on Mathematical Software, Vol. 31, Issue 3
DOI: 10.1145/1089014.1089021

NetCDF: an interface for scientific data access
journal, July 1990

Rew, R.; Davis, G.
IEEE Computer Graphics and Applications, Vol. 10, Issue 4
DOI: 10.1109/38.56302

`p4est` : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
journal, January 2011

Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
SIAM Journal on Scientific Computing, Vol. 33, Issue 3
DOI: 10.1137/100791634

High accuracy mantle convection simulation through modern numerical methods: High accuracy mantle convection simulation
journal, August 2012

Kronbichler, Martin; Heister, Timo; Bangerth, Wolfgang
Geophysical Journal International, Vol. 191, Issue 1
DOI: 10.1111/j.1365-246X.2012.05609.x

Multilevel methods for discontinuous Galerkin FEM on locally refined meshes
journal, November 2004

Kanschat, Guido
Computers & Structures, Vol. 82, Issue 28
DOI: 10.1016/j.compstruc.2004.04.015

A generic interface for parallel cell-based finite element operator application
journal, June 2012

Kronbichler, Martin; Kormann, Katharina
Computers & Fluids, Vol. 63
DOI: 10.1016/j.compfluid.2012.04.012

A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
journal, January 2001

Amestoy, Patrick R.; Duff, Iain S.; L'Excellent, Jean-Yves
SIAM Journal on Matrix Analysis and Applications, Vol. 23, Issue 1
DOI: 10.1137/S0895479899358194

Hybrid scheduling for the parallel solution of linear systems
journal, February 2006

Amestoy, Patrick R.; Guermouche, Abdou; L’Excellent, Jean-Yves
Parallel Computing, Vol. 32, Issue 2
DOI: 10.1016/j.parco.2005.07.004

High accuracy mantle convection simulation through modern numerical methods – II: realistic models and problems
journal, May 2017

Heister, Timo; Dannberg, Juliane; Gassmöller, Rene
Geophysical Journal International, Vol. 210, Issue 2
DOI: 10.1093/gji/ggx195

LinearOperator—A generic, high-level expression syntax for linear algebra
journal, July 2016

Maier, Matthias; Bardelloni, Mauro; Heltai, Luca
Computers & Mathematics with Applications, Vol. 72, Issue 1
DOI: 10.1016/j.camwa.2016.04.024

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
journal, September 2005

Hindmarsh, Alan C.; Brown, Peter N.; Grant, Keith E.
ACM Transactions on Mathematical Software, Vol. 31, Issue 3
DOI: 10.1145/1089014.1089020

Multifrontal parallel distributed symmetric and unsymmetric solvers
journal, April 2000

Amestoy, P. R.; Duff, I. S.; L'Excellent, J. -Y.
Computer Methods in Applied Mechanics and Engineering, Vol. 184, Issue 2-4
DOI: 10.1016/S0045-7825(99)00242-X

Works referencing / citing this record:

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model
journal, October 2019

Fehn, Niklas; Wall, Wolfgang A.; Kronbichler, Martin
International Journal for Numerical Methods in Biomedical Engineering, Vol. 35, Issue 12
DOI: 10.1002/cnm.3228

Multiscale modeling of vascularized tissues via nonmatching immersed methods
journal, December 2019

Heltai, Luca; Caiazzo, Alfonso
International Journal for Numerical Methods in Biomedical Engineering, Vol. 35, Issue 12
DOI: 10.1002/cnm.3264

A multiscale approach to hybrid RANS/LES wall modeling within a high‐order discontinuous Galerkin scheme using function enrichment
journal, January 2019

Krank, Benjamin; Kronbichler, Martin; Wall, Wolfgang A.
International Journal for Numerical Methods in Fluids, Vol. 90, Issue 2
DOI: 10.1002/fld.4712

High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L ² and H (div) methods
journal, August 2019

Fehn, Niklas; Kronbichler, Martin; Lehrenfeld, Christoph
International Journal for Numerical Methods in Fluids, Vol. 91, Issue 11
DOI: 10.1002/fld.4763

Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions
journal, December 2019

Qin, Jianhua; Andreopoulos, Yiannis; Jiang, Xiaohai
International Journal for Numerical Methods in Fluids, Vol. 92, Issue 6
DOI: 10.1002/fld.4795

A phase‐field method for modeling cracks with frictional contact
journal, October 2019

Fei, Fan; Choo, Jinhyun
International Journal for Numerical Methods in Engineering, Vol. 121, Issue 4
DOI: 10.1002/nme.6242

The Magnetic Signatures of the M ₂ , N ₂ , and O ₁ Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data
journal, April 2019

Grayver, Alexander V.; Olsen, Nils
Geophysical Research Letters, Vol. 46, Issue 8
DOI: 10.1029/2019gl082400

Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors
journal, May 2019

Kronbichler, Martin; Ljungkvist, Karl
ACM Transactions on Parallel Computing, Vol. 6, Issue 1
DOI: 10.1145/3322813

Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
journal, August 2019

Kronbichler, Martin; Kormann, Katharina
ACM Transactions on Mathematical Software, Vol. 45, Issue 3
DOI: 10.1145/3325864

Modeling the Effect of Intersected Fractures on Oil Production Rate of Fractured Reservoirs by Embedded Fracture Continuum Approach
journal, July 2019

Dang, Hong-Lam
Modelling and Simulation in Engineering, Vol. 2019
DOI: 10.1155/2019/4034860

Multiscale Modeling of Glacial Loading by a 3D Thermo-Hydro-Mechanical Approach Including Erosion and Isostasy
journal, October 2019

Cerroni, Daniele; Penati, Mattia; Porta, Giovanni
Geosciences, Vol. 9, Issue 11
DOI: 10.3390/geosciences9110465

Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods
journal, February 2019

Brands, Benjamin; Davydov, Denis; Mergheim, Julia
Mathematical and Computational Applications, Vol. 24, Issue 1
DOI: 10.3390/mca24010020

The Magnetic Signatures of the M2, N2, and O1 Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data
text, January 2019

Grayver, Alexander V.; Olsen, Nils
ETH Zurich
DOI: 10.3929/ethz-b-000340108

Multiscale modeling of vascularized tissues via non-matching immersed methods
text, January 2018

Heltai, Luca; Caiazzo, Alfonso
Weierstrass Institute
DOI: 10.20347/wias.preprint.2555

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model
preprint, January 2018

Fehn, Niklas; Wall, Wolfgang A.; Kronbichler, Martin
arXiv
DOI: 10.48550/arxiv.1811.06752

High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H$(div) methods
text, January 2019

Fehn, Niklas; Kronbichler, Martin; Lehrenfeld, Christoph
arXiv
DOI: 10.48550/arxiv.1905.00142

A phase-field method for modeling cracks with frictional contact
text, January 2019

Fei, Fan; Choo, Jinhyun
arXiv
DOI: 10.48550/arxiv.1905.10547

Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space–time FEM codes
journal, July 2019

Köcher, Uwe; Bruchhäuser, Marius Paul; Bause, Markus
SoftwareX, Vol. 10
DOI: 10.1016/j.softx.2019.100239

A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth
journal, July 2019

Rudraraju, Shiva; Moulton, Derek E.; Chirat, Régis
PLOS Computational Biology, Vol. 15, Issue 7
DOI: 10.1371/journal.pcbi.1007213

Effects of Heat-Producing Elements on the Stability of Deep Mantle Thermochemical Piles
journalarticle, January 2020

Citron, Ri; Lourenço, Dl; Wilson, Aj
American Geophysical Union (AGU)
DOI: 10.17863/cam.58465

A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models
text, January 2021

Hale, Jack S.; Schenone, Elisa; Baroli, Davide
RWTH Aachen University
DOI: 10.18154/rwth-2021-03639

A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems
preprint, January 2019

Seelinger, Linus; Reinarz, Anne; Scheichl, Robert
arXiv
DOI: 10.48550/arxiv.1906.10944

A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
preprint, January 2019

Kronbichler, Martin; Kormann, Katharina; Fehn, Niklas
arXiv
DOI: 10.48550/arxiv.1907.08492

Towards Automatic and Reliable Localized Model Order Reduction
preprint, January 2019

Buhr, Andreas
arXiv
DOI: 10.48550/arxiv.1908.02074

Parallel Approximate Ideal Restriction Multigrid for Solving the S$_N$ Transport Equations
preprint, January 2019

Hanophy, Joshua; Southworth, Ben S.; Li, Ruipeng
arXiv
DOI: 10.48550/arxiv.1910.11463

A priori error estimates of regularized elliptic problems
text, January 2019

Heltai, Luca; Lei, Wenyu
arXiv
DOI: 10.48550/arxiv.1911.02293

Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem
preprint, January 2020

Fehn, Niklas; Kronbichler, Martin; Munch, Peter
arXiv
DOI: 10.48550/arxiv.2007.01656

Industrial scale large eddy simulations (LES) with adaptive octree meshes using immersogeometric analysis
text, January 2020

Saurabh, Kumar; Gao, Boshun; Fernando, Milinda
arXiv
DOI: 10.48550/arxiv.2009.00706

Parallel two-scale finite element implementation of a system with varying microstructures
preprint, January 2021

Richardson, Omar; Lakkis, Omar; Muntean, Adrian
arXiv
DOI: 10.48550/arxiv.2103.17040

Similar Records in DOE PAGES and OSTI.GOV collections:

The DEAL.II finite element library: Design, features, and insights

Journal Article Arndt, Daniel ; Bangerth, Wolfgang ; Davydov, Denis ; ... - Computers and Mathematics with Applications (Oxford)

DEAL.II ismore »« less
https://doi.org/10.1016/j.camwa.2020.02.022

Full Text Available
The deal.II Library, Version 9.5

Journal Article Arndt, Daniel ; Bangerth, Wolfgang ; Bergbauer, Maximilian ; ... - Journal of Numerical Mathematics

Here, this paper provides an overview of the new features of the finite element library deal.II, version 9.5.
https://doi.org/10.1515/jnma-2023-0089
The deal.II Library, Version 8.5

Journal Article Arndt, Daniel ; Bangerth, Wolfgang ; Davydov, Denis ; ... - Journal of Numerical Mathematics

Here, this paper provides an overview of the new features of the finite element library deal.II version 8.5.
Cited by 90
https://doi.org/10.1515/jnma-2017-0058

Full Text Available
The deal.II Library, Version 9.2

Journal Article Arndt, Daniel ; Bangerth, Wolfgang ; Blais, Bruno ; ... - Journal of Numerical Mathematics

This work provides an overview of the new features of the finite element library deal.II, version 9.2.
https://doi.org/10.1515/jnma-2020-0043

Full Text Available
The deal.II library, Version 9.3

Journal Article Arndt, Daniel ; Bangerth, Wolfgang ; Blais, Bruno ; ... - Journal of Numerical Mathematics

This paper provides an overview of the new features of the finite element library deal.II, version 9.3.
https://doi.org/10.1515/jnma-2021-0081

Full Text Available

Similar Records

Title: The deal.II Library, Version 9.0

Abstract

Citation Formats

A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs journal, January 1998

SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems journal, September 2005

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods journal, July 2018

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities journal, September 2009

Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods journal, January 2011

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics journal, December 2017

Algorithms and data structures for massively parallel generic adaptive finite element codes journal, December 2011

Algorithm 755; ADOL-C: a package for the automatic differentiation of algorithms written in C/C++ journal, June 1996

Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method journal, June 2004

An overview of the Trilinos project journal, September 2005

NetCDF: an interface for scientific data access journal, July 1990

p4est : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees journal, January 2011

High accuracy mantle convection simulation through modern numerical methods: High accuracy mantle convection simulation journal, August 2012

Multilevel methods for discontinuous Galerkin FEM on locally refined meshes journal, November 2004

A generic interface for parallel cell-based finite element operator application journal, June 2012

A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling journal, January 2001

Hybrid scheduling for the parallel solution of linear systems journal, February 2006

High accuracy mantle convection simulation through modern numerical methods – II: realistic models and problems journal, May 2017

LinearOperator—A generic, high-level expression syntax for linear algebra journal, July 2016

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers journal, September 2005

Multifrontal parallel distributed symmetric and unsymmetric solvers journal, April 2000

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model journal, October 2019

Multiscale modeling of vascularized tissues via nonmatching immersed methods journal, December 2019

A multiscale approach to hybrid RANS/LES wall modeling within a high‐order discontinuous Galerkin scheme using function enrichment journal, January 2019

High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L 2 and H (div) methods journal, August 2019

Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions journal, December 2019

A phase‐field method for modeling cracks with frictional contact journal, October 2019

The Magnetic Signatures of the M 2 , N 2 , and O 1 Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data journal, April 2019

Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors journal, May 2019

Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators journal, August 2019

Modeling the Effect of Intersected Fractures on Oil Production Rate of Fractured Reservoirs by Embedded Fracture Continuum Approach journal, July 2019

Multiscale Modeling of Glacial Loading by a 3D Thermo-Hydro-Mechanical Approach Including Erosion and Isostasy journal, October 2019

Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods journal, February 2019

The Magnetic Signatures of the M2, N2, and O1 Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data text, January 2019

Multiscale modeling of vascularized tissues via non-matching immersed methods text, January 2018

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model preprint, January 2018

High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H$(div) methods text, January 2019

A phase-field method for modeling cracks with frictional contact text, January 2019

Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space–time FEM codes journal, July 2019

A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth journal, July 2019

Effects of Heat-Producing Elements on the Stability of Deep Mantle Thermochemical Piles journalarticle, January 2020

A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models text, January 2021

A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems preprint, January 2019

A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators preprint, January 2019

Towards Automatic and Reliable Localized Model Order Reduction preprint, January 2019

Parallel Approximate Ideal Restriction Multigrid for Solving the S$_N$ Transport Equations preprint, January 2019

A priori error estimates of regularized elliptic problems text, January 2019

Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem preprint, January 2020

Industrial scale large eddy simulations (LES) with adaptive octree meshes using immersogeometric analysis text, January 2020

Parallel two-scale finite element implementation of a system with varying microstructures preprint, January 2021

A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
journal, January 1998

SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems
journal, September 2005

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods
journal, July 2018

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
journal, September 2009

Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods
journal, January 2011

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics
journal, December 2017

Algorithms and data structures for massively parallel generic adaptive finite element codes
journal, December 2011

Algorithm 755; ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
journal, June 1996

Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
journal, June 2004

An overview of the Trilinos project
journal, September 2005

NetCDF: an interface for scientific data access
journal, July 1990

`p4est` : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
journal, January 2011

High accuracy mantle convection simulation through modern numerical methods: High accuracy mantle convection simulation
journal, August 2012

Multilevel methods for discontinuous Galerkin FEM on locally refined meshes
journal, November 2004

A generic interface for parallel cell-based finite element operator application
journal, June 2012

A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
journal, January 2001

Hybrid scheduling for the parallel solution of linear systems
journal, February 2006

High accuracy mantle convection simulation through modern numerical methods – II: realistic models and problems
journal, May 2017

LinearOperator—A generic, high-level expression syntax for linear algebra
journal, July 2016

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
journal, September 2005

Multifrontal parallel distributed symmetric and unsymmetric solvers
journal, April 2000

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model
journal, October 2019

Multiscale modeling of vascularized tissues via nonmatching immersed methods
journal, December 2019

A multiscale approach to hybrid RANS/LES wall modeling within a high‐order discontinuous Galerkin scheme using function enrichment
journal, January 2019

High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L ² and H (div) methods
journal, August 2019

Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions
journal, December 2019

A phase‐field method for modeling cracks with frictional contact
journal, October 2019

The Magnetic Signatures of the M ₂ , N ₂ , and O ₁ Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data
journal, April 2019

Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors
journal, May 2019

Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
journal, August 2019

Modeling the Effect of Intersected Fractures on Oil Production Rate of Fractured Reservoirs by Embedded Fracture Continuum Approach
journal, July 2019

Multiscale Modeling of Glacial Loading by a 3D Thermo-Hydro-Mechanical Approach Including Erosion and Isostasy
journal, October 2019

Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods
journal, February 2019

The Magnetic Signatures of the M2, N2, and O1 Oceanic Tides Observed in Swarm and CHAMP Satellite Magnetic Data
text, January 2019

Multiscale modeling of vascularized tissues via non-matching immersed methods
text, January 2018

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model
preprint, January 2018

High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H$(div) methods
text, January 2019

A phase-field method for modeling cracks with frictional contact
text, January 2019

Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space–time FEM codes
journal, July 2019

A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth
journal, July 2019

Effects of Heat-Producing Elements on the Stability of Deep Mantle Thermochemical Piles
journalarticle, January 2020

A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models
text, January 2021

A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems
preprint, January 2019

A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
preprint, January 2019

Towards Automatic and Reliable Localized Model Order Reduction
preprint, January 2019

Parallel Approximate Ideal Restriction Multigrid for Solving the S$_N$ Transport Equations
preprint, January 2019

A priori error estimates of regularized elliptic problems
text, January 2019

Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem
preprint, January 2020

Industrial scale large eddy simulations (LES) with adaptive octree meshes using immersogeometric analysis
text, January 2020

Parallel two-scale finite element implementation of a system with varying microstructures
preprint, January 2021